Ambiguities in Pauli–Villars regularization

Ambiguities in Pauli–Villars regularization

We investigate regularization of scalar one-loop integrals in the Pauli–Villars subtraction scheme. The results depend on the number of subtractions, in particular the finite terms that survive after the divergences have been absorbed by renormalization. Therefore the process of Pauli–Villars regula...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2015-02, Vol.75 (2), p.1-4, Article 46
Hauptverfasser: Kleiss, R. H. P., Janssen, T.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Ambiguity
Astronomy
Astrophysics and Cosmology
Asymptotic properties
Elementary Particles
Hadrons
Heavy Ions
Integrals
Mathematical analysis
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Regularization
Scalars
String Theory
Subtraction
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Zusammenfassung:We investigate regularization of scalar one-loop integrals in the Pauli–Villars subtraction scheme. The results depend on the number of subtractions, in particular the finite terms that survive after the divergences have been absorbed by renormalization. Therefore the process of Pauli–Villars regularization is ambiguous. We discuss how these ambiguities may be resolved by applying an asymptotically large number of subtractions, which results in a regularization that is automatically valid in any number of dimensions.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-014-3240-5